Stair Calculator

Calculate riser height, tread depth, number of steps, and stair angle from total height and available run.

Results

Number of risers16
Number of treads15
Riser height17.5 cm
Tread depth26.7 cm
Stair angle35.0 °

Stair diagram

Disclaimer: This calculator is a planning aid only. Always check local building codes and regulations for stair requirements in your jurisdiction.

How Stair Calculations Work

The calculator divides the total floor-to-floor height by a comfortable riser height (~18 cm / 7 in) to determine the number of risers. The available horizontal run is then divided by the number of treads (risers − 1) to find the tread depth.

Key Stair Measurements

MeasurementTypical Range (Metric)Typical Range (Imperial)
Riser height15–20 cm6–8 in
Tread depth25–30 cm10–12 in
Stair width (min)80–90 cm32–36 in
Comfortable angle30°–37°

Example

A floor-to-floor height of 280 cm with 400 cm of horizontal run gives approximately 16 risers at 17.5 cm each, with 15 treads at 26.7 cm each and a 35° angle.

Frequently Asked Questions

What is a comfortable riser height?
Most building codes recommend a riser height between 15–20 cm (6–8 inches). The most comfortable range is typically 17–19 cm (6.7–7.5 inches).
What is the ideal stair angle?
Comfortable residential stairs are typically between 30° and 37°. Steeper than 42° becomes uncomfortable and may violate building codes.
How do I calculate the number of steps?
Divide the total floor-to-floor height by your target riser height (typically 18 cm). Round to the nearest whole number, then divide the total height by that number for the exact riser height.
What is the 2R + T rule?
The "2R + T" rule states that two times the riser height plus the tread depth should equal 60–65 cm (24–25 inches). This provides a comfortable walking rhythm.

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